Anomalous multi-ramp fractional vortex beams with arbitrary topological charge jumps

TL;DR

This paper introduces anomalous multi-ramp fractional vortex beams that allow arbitrary topological charge jumps, expanding the control over vortex beam properties beyond traditional models.

Contribution

It proposes a novel class of vortex beams with customizable topological charge jumps and provides simulation-based demonstrations and phase singularity analysis.

Findings

AMRFV beams enable arbitrary topological charge jumps.

Simulations confirm the multi-jump behavior.

Phase singularity evolution explains the multi-jump characteristic.

Abstract

Traditional fractional vortex beams are well-known "jump" beams: that is, their net topological charge jumps by unity as the effective topological charge of the source passes a half-integer value. Here, we propose an anomalous multi-ramp fractional vortex (AMRFV) beam. Unlike the traditional fractional vortex beams, an AMRFV beam can be designed to have arbitrary jumps in topological charge at any critical threshold of the source charge. We walk through some examples of AMRFV beams using simulations and present a clear interpretation of the multi-jump characteristic based on the evolution of phase singularities.